On ν-Level Interval of Fuzzy Set for Fractional Order Neutral Impulsive Stochastic Differential System

نویسندگان

چکیده

The main concern of this paper is to investigate the existence and uniqueness a fuzzy neutral impulsive stochastic differential system with Caputo fractional order driven by Brownian motion using numbers bounded ν-level intervals that are convex, normal upper-semicontinuous. Fuzzy Itô process, Grönwall’s inequality Banach fixed-point theorem employed probe local global existence. An analytical example provided examine theoretical results.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

متن کامل

Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method

In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...

متن کامل

Existence Results for Fractional Impulsive Neutral Functional Differential Equations

This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.

متن کامل

Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions

This paper investigates the existence of solutions for fractional-order neutral impulsive differential inclusions with nonlocal conditions. Utilizing the fractional calculus and fixed point theorem for multivalued maps, new sufficient conditions are derived for ensuring the existence of solutions. The obtained results improve and generalize some existed results. Finally, an illustrative example...

متن کامل

Asymptotic Stability of Fractional Impulsive Neutral Stochastic Partial Integro-differential Equations with State-dependent Delay

In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11091990